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Symbolic-arithmetic

Aabf-unary-minus-s

Signature
(aabf-unary-minus-s x man) → (mv ms new-man)
Arguments: x — Guard (true-listp x).

Definitions and Theorems

Function: aabf-unary-minus-s

(defun aabf-unary-minus-s (x man)
  (declare (xargs :guard (true-listp x)))
  (declare (xargs :guard (and (aabflist-p x man))))
  (let ((__function__ 'aabf-unary-minus-s))
    (declare (ignorable __function__))
    (aabf-nest (aabf-+-ss (aabf-true)
                          nil (aabf-lognot-s x))
               man)))

Theorem: trivial-theorem-about-aabf-unary-minus-s

(defthm trivial-theorem-about-aabf-unary-minus-s
  (b* nil
    (b* ((?ignore (aabf-unary-minus-s x man)))
      t))
  :rule-classes nil)

Theorem: true-listp-of-aabf-unary-minus-s.ms

(defthm true-listp-of-aabf-unary-minus-s.ms
  (b* (((mv ?ms ?new-man)
        (aabf-unary-minus-s x man)))
    (true-listp ms))
  :rule-classes :type-prescription)

Theorem: aabf-extension-p-of-aabf-unary-minus-s

(defthm aabf-extension-p-of-aabf-unary-minus-s
  (b* (((mv ?ms ?new-man)
        (aabf-unary-minus-s x man)))
    (aabf-extension-p new-man man)))

Theorem: aabf-p-of-aabf-unary-minus-s

(defthm aabf-p-of-aabf-unary-minus-s
  (b* (((mv ms new-man)
        (aabf-unary-minus-s x man)))
    (implies (and (aabflist-p x man))
             (and (aabflist-p ms new-man)))))

Theorem: aabf-eval-of-aabf-unary-minus-s

(defthm aabf-eval-of-aabf-unary-minus-s
  (b* (((mv ms new-man)
        (aabf-unary-minus-s x man)))
    (implies
         (and (aabflist-p x man))
         (and (equal (bools->int (aabflist-eval ms env new-man))
                     (- (bools->int (aabflist-eval x env man))))))))

Theorem: aabf-pred-of-aabf-unary-minus-s

(defthm aabf-pred-of-aabf-unary-minus-s
  (b* (((mv ms new-man)
        (aabf-unary-minus-s x man)))
    (implies (and (aabflist-p x man)
                  (aabflist-pred x man))
             (and (aabflist-pred ms new-man)))))